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Finding the Fourth Proportional to 341,224.44, 470,816.74 and 196,048.02

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Solution

The fourth proportional to 341,224.44, 470,816.74 and 196,048.02 is: 270,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,224.44 : 470,816.74 = 196,048.02 : x
  2. Step 2: Convert to fraction form
    341,224.44/470,816.74 = 196,048.02/x
  3. Step 3: Cross multiply
    341,224.44x = 470,816.74 × 196,048.02
  4. Step 4: Simplify right side
    341,224.44x = 92,302,689,659.85
  5. Step 5: Solve for x
    x = 92,302,689,659.85/341,224.44
  6. Step 6: Final answer
    x = 270,504.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.